I think you will double through enough against this random player just enough that it will be +EV. If he flips over a 7, then that's how it goes, i agree that "playing fast with a monster is the new slowplay." (i've had that happen to me in similar situations). But, a lot (and enough of the time) of the time they flip over a flush or straight draw ( or a smaller PP), like i said enough of the time you get comfortable in chip stack in some of these tournaments.

Mike